Following on from "Basic Mathematics for the Physical Sciences" by the same author team, this book is aimed at all students in the physical sciences taking a second course in mathematics. It consists of self-paced modules that can be studied as part of a traditional course or as an open or distance learning course and it also gives lecturers the flexibility to cover topics at different rates and in any order they choose.
Michael Tinker is the editor of Further Mathematics for the Physical Sciences, published by Wiley. Robert Lambourne is the editor of Further Mathematics for the Physical Sciences, published by Wiley.
Chapter 1: Vectors and Matrices; Introduction to Vectors and Matrices; Scalar Product of Vectors; Vector Product of Vectors; Matrices and Determinants; Chapter 2: Complex Numbers; Introducing Complex Numbers; Polar Representation of Complex Numbers; Demoivre's Theorem and Complex Algebra; Chapter 3: Further Differentiation; Series Expansions and Approximations; Taylor Expansions and Polynomial Approximations; Hyperbolic Functions and Differentiation; Chapter 4: Further Integration; Applications of Integration; Further Integration; Chapter 5: Differential Equations and Vector Calculus; Introducing Differential Equations; Solving First-Order Differential Equations; Solving Second-Order Differential Equations; Waves and Partial Differential Equations; Vector Calculus; Appendix: Mathematics Handbook.